Journal of Solution Chemistry

, Volume 40, Issue 10, pp 1769–1783 | Cite as

Thermodynamic Study of Ternary Mixtures Containing 1-Methyl Pyrrolidin-2-one, Propan-2-ol and Benzene or Methyl Benzene or Cyclohexane

  • Yameeka Chhikara
  • J. S. Yadav
  • Dimple Sharma
  • V. K. Sharma


Densities, ρ 123, and speeds of sound, u 123, of 1-methyl pyrrolidin-2-one (1) + benzene or methyl benzene or cyclohexane (2) + propan-2-ol (3) ternary mixtures have been measured over the entire composition range at 308.15 K and atmospheric pressure. The resulting ρ 123 and \(V_{123}^{\mathrm{E}}\) data were utilized to predict excess isentropic compressibilities, \((\kappa_{S}^{\mathrm{E}})_{123}\), of the studied (1+2+3) mixtures. The observed \(V_{123}^{\mathrm{E}}\) and \((\kappa_{S}^{\mathrm{E}})_{123}\) data have been analyzed in terms of Graph theory (which involved the topology of a molecule). It has been observed that \(V_{123}^{\mathrm{E}}\) and \((\kappa_{S}^{\mathrm{E}})_{123}\) values determined by Graph theory compare well with their corresponding experimental values.


Connectivity parameter of third degree, 3ξ Excess molar volumes, \(V_{123}^{\mathrm{E}}\) Excess isentropic compressibilities, \((\kappa_{S}^{\mathrm{E}})_{123}\) Speeds of sound, u123 


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  1. 1.
    Brocos, P., Calvo, E., Bravo, R., Pintos, M., Amigo, A.: Heat capacities, excess enthalpies, and volumes of mixtures containing cyclic ethers. 3. Binary systems {tetrahydrofuran, tetrahydropyran, 1,4-dioxane, or 1,3-dioxolane + cyclohexane or toluene}. J. Chem. Eng. Data 44, 67–72 (1999) CrossRefGoogle Scholar
  2. 2.
    Siwach, R.K., Sharma, D., Sharma, V.K.: Thermodynamic properties of binary mixtures containing tetrahydropyran: Excess molar volumes, excess molar enthalpies and isentropic compressibilities changes of mixing. Thermochim. Acta 506, 1–7 (2010) CrossRefGoogle Scholar
  3. 3.
    Amigo, A., Bravo, R., Pintos, M.: Excess volumes of binary mixtures containing cyclic ethers + alkanols at 298.15 K. J. Chem. Eng. Data 38, 141–142 (1993) CrossRefGoogle Scholar
  4. 4.
    Klyohara, O., Perron, G., Desnoyers, J.E.: Volumes and heat capacities of cyclic ethers and amines in water and of some electrolytes in these mixed aqueous solvents. Can. J. Chem. 53, 2591–2597 (1975) CrossRefGoogle Scholar
  5. 5.
    Chhikara, Y., Sharma, D., Yadav, J.S., Sharma, V.K.: Topological investigations of thermodynamic properties of 1-methyl pyrrolidin-2-one with water and alkanols: excess molar volumes, excess molar enthalpies and excess isentropic compressibilities. Thermochim. Acta (2010) accepted Google Scholar
  6. 6.
    Yadav, J.S., Sharma, D., Sharma, V.K.: Topological investigations of the molecular species and molecular interactions that characterize pyrrolidin-2-one + lower alkanol mixtures. Thermochim. Acta 493, 19–24 (2009) CrossRefGoogle Scholar
  7. 7.
    Ganakumari, P., Venkatesu, P., Mohan, K. Rama, Rao, M.V.P., Prasad, D.H.L.: Excess volumes and excess enthalpies of N-methyl-2-pyrrolidone with branched alcohols. Fluid Phase Equilib. 252, 137–142 (2007) CrossRefGoogle Scholar
  8. 8.
    Riddick, J.A., Bunger, W.B., Sakano, T.K.: Organic Solvents, Physical Properties and Methods of Purification, 4th edn. Wiley, New York (1986) Google Scholar
  9. 9.
    Papamatthaiakis, D., Aroni, F., Havredak, V.: Isentropic compressibilities of (amide + water) mixtures: a comparative study. J. Chem. Thermodyn. 40, 107–118 (2008) CrossRefGoogle Scholar
  10. 10.
    Singh, P.P., Sharma, S.P.: Molar excess volumes of ternary mixtures of non-electrolytes at 308.15 K. J. Chem. Eng. Data 30, 477–479 (1985) CrossRefGoogle Scholar
  11. 11.
    Tamura, K., Murakami, S., Doi, S.: Speeds of sound, densities, and isentropic compressibilities of {x-C6H12+(1−x)C6H5CH3}, {x-C6H11CH3+(1−x)C6H6}, and {x-C6H11CH3+(1−x)C6H5CH3}, from 293.15 to 303.15 K. J. Chem. Thermodyn. 17, 325–333 (1985) CrossRefGoogle Scholar
  12. 12.
    Sehgal, C.M., Porter, B.R., Greenleaf, J.F.: Ultrasonic non-linear parameters and sound speed of alcohol-water mixture. J. Acoust. Soc. Am. 79, 566–570 (1986) CrossRefGoogle Scholar
  13. 13.
    Junqquera, E., Tardajos, G., Aicart, E.: Speeds of sound and isentropic compressibilities of (cyclohexane + benzene and (1-chlorobutane + n-hexane or n-heptane or n-octane or n-decane) at 298.15 K). J. Chem. Thermodyn. 20, 1461–1467 (1988) CrossRefGoogle Scholar
  14. 14.
    Rao, T.S., Veeraiah, N., Rambabu, C.: Excess volumes, viscosities and compressibilities of binary mixtures consisting of propan-1-ol, butan-1-ol and pentan-1-ol with 1,2-dibromoethane at different temperatures. Indian J. Chem. Technol. 41A, 2268–2273 (2002) Google Scholar
  15. 15.
    Benson, G.C., Kiyohara, O.: Evaluation of excess isentropic compressibilities and isochoric heat capacities. J. Chem. Thermodyn. 11, 1061–1064 (1979) CrossRefGoogle Scholar
  16. 16.
    Weast, R.C.: CRC Handbook of Chemistry and Physics, 68th edn. CRC Press, Boca Raton (1987) Google Scholar
  17. 17.
    Hildebrand, J.H., Prusnitz, J.M., Scott, R.L.: Regular and Related Solutions: The Solubility of Gases, Liquids, and Solids. Van-Nostrand Reinhold, New York (1971) Google Scholar
  18. 18.
    Redlich, O., Kister, A.T.: Algebraic representation of thermodynamic properties and the classification of solutions. Ind. Eng. Chem. 40, 345–348 (1948) CrossRefGoogle Scholar
  19. 19.
    Chhikara, Y., Yadav, J.S., Sharma, D., Sharma, V.K.: Thermodynamic and topological investigations of molecular interactions in binary and ternary mixtures containing 1-methyl pyrrolidin-2-one at 308.15 K. J. Chem. Thermodyn. (2010, in press). doi: 10.1016/j.jct.2010.12.016
  20. 20.
    Arimoto, A., Ogawa, H., Murakami, S.: Temperature dependence of molar excess volumes and excess thermal expansion coefficients for binary mixtures of cyclohexane with some hydrocarbons between 298.15 and 313.15 K. Thermochim. Acta 163, 191–202 (1990) CrossRefGoogle Scholar
  21. 21.
    Gupta, V.: Thermodynamics of binary mixtures of associated alkanols with aromatic hydrocarbons, Ph.D. Thesis, Maharishi Dayanand University, Rohtak, India (1996) Google Scholar
  22. 22.
    Sharma, D., Yadav, J.S., Singh, K.C., Sharma, V.K.: Molar excess volumes and excess isentropic compressibilities of {2-methylaniline (i) + benzene (j) + methylbenzene (k)}, {2-methylaniline(i) + benzene (j) + 1,2-dimethylbenzene (k) + 2-methylaniline(i) + benzene (j) + 1,4-dimethylbenzene (k)} at T=308.15 K. J. Chem. Eng. Data 54, 2109–2112 (2009) CrossRefGoogle Scholar
  23. 23.
    Huggins, M.L.: The thermodynamic properties of liquids, including solutions. Part 1. Intermolecular energetics in monoatomic liquids and their mixtures. J. Phys. Chem. 74, 371–378 (1970) CrossRefGoogle Scholar
  24. 24.
    Huggins, M.L.: The thermodynamic properties of liquids, including solutions. Part 2. Polymer solution considered as diatomic systems. Polymer 12, 389–399 (1971) CrossRefGoogle Scholar
  25. 25.
    Singh, P.P., Bhatia, M.: Energetics of molecular interactions in binary mixtures of non-electrolytes containing a salt. J. Chem. Soc. Faraday Trans. I 85, 3807–3812 (1989) CrossRefGoogle Scholar
  26. 26.
    Singh, P.P., Nigam, R.K., Singh, K.C., Sharma, V.K.: Topological aspects of the thermodynamics of binary mixtures of non-electrolytes. Thermochim. Acta 46, 175–190 (1981) CrossRefGoogle Scholar
  27. 27.
    Singh, P.P.: Topological aspects of the effect of temperature and pressure on the thermodynamics of binary mixtures of non-electrolytes. Thermochim. Acta 66, 37–73 (1983) CrossRefGoogle Scholar
  28. 28.
    Kier, L.B., Yalkowasky, S.H., Sinkula, A.A., Valvani, S.C.: Physico-Chemical Properties of Drugs. Marcel Dekker, New York (1980) Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Yameeka Chhikara
    • 1
  • J. S. Yadav
    • 2
  • Dimple Sharma
    • 3
  • V. K. Sharma
    • 1
  1. 1.Department of ChemistryMaharshi Dayanand UniversityRohtakIndia
  2. 2.Department of ChemistryA.I.J.H.M. CollegeRohtakIndia
  3. 3.P.D.M. College of Engineering for WomenBahadurgarhIndia

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